PSLE The perimeter of figure NPQRS is (10
p + 13) cm. The perimeter of square NPQR is 12 cm.
- Find the perimeter of triangle NRS in terms of p.
- The perimeter of figure NPQRS is 83 cm. What is the value of p? Give your answer in cm.
(a)
Length of the square
= 12 ÷ 4
= 3 cm
Total lengths of NP, PQ and QR
= 3 x 3
= 9 cm
Perimeter of triangle NRS
= 10
p + 13 - 3 - 3
= (10
p + 7) cm
(b)
10
p + 13 = 83
10
p = 83 - 13
10
p = 70
p = 70 ÷ 10 = 7
Value of
p = 7 cm
Answer(s): (a) (10
p + 7) cm; (b) 7 cm